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Finding the Fourth Proportional to 24,424.67, 36,641.40 and 8,638.85

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Solution

The fourth proportional to 24,424.67, 36,641.40 and 8,638.85 is: 12,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424.67 : 36,641.40 = 8,638.85 : x
  2. Step 2: Convert to fraction form
    24,424.67/36,641.40 = 8,638.85/x
  3. Step 3: Cross multiply
    24,424.67x = 36,641.40 × 8,638.85
  4. Step 4: Simplify right side
    24,424.67x = 316,539,617.60
  5. Step 5: Solve for x
    x = 316,539,617.60/24,424.67
  6. Step 6: Final answer
    x = 12,959.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.